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Finding the Third Proportional to 29,129 and 63,710

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Solution

The third proportional to 29,129 and 63,710 is: 139,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,129 : 63,710 = 63,710 : x
  2. Step 2: Convert to fraction form
    29,129/63,710 = 63,710/x
  3. Step 3: Cross multiply
    29,129x = 63,710 × 63,710
  4. Step 4: Simplify right side
    29,129x = 4,058,964,100
  5. Step 5: Solve for x
    x = 4,058,964,100/29,129
  6. Step 6: Final answer
    x = 139,344.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.